ellPoint(List,EllipticCurve) -- A method for defining point on an elliptic curve.

Synopsis

• Function: ellPoint

• Usage:

  ellPoint(L,E)

• Inputs:
  • L, a list, the projective coordinates of the point
  • E, an instance of the type EllipticCurve, the elliptic curve on which the point lies
• Outputs:
  • an instance of the type EllPoint

Description

Returns the point of projective coordinates { L#0 : L#1 : L#2 } on the elliptic curve E

i1 : E=ellCurve(3,8,GF(13))

o1 = Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .))

o1 : EllipticCurve

i2 : P=ellPoint({1,5,1},E)

o2 = Point ({1, 5, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o2 : EllPoint